105840010 has 8 divisors (see below), whose sum is σ = 190512036. Its totient is φ = 42336000.

The previous prime is 105840001. The next prime is 105840061. The reversal of 105840010 is 10048501.

It can be written as a sum of positive squares in 2 ways, for example, as 104714289 + 1125721 = 10233^2 + 1061^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105840010² = 22404215433600200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105840010.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5291991 + ... + 5292010.

Almost surely, 2^105840010 is an apocalyptic number.

105840010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105840010 is a deficient number, since it is larger than the sum of its proper divisors (84672026).

105840010 is a wasteful number, since it uses less digits than its factorization.

105840010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10584008.

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 105840010 is about 10287.8574056992. The cubic root of 105840010 is about 473.0241246838.

Adding to 105840010 its reverse (10048501), we get a palindrome (115888511).

The spelling of 105840010 in words is "one hundred five million, eight hundred forty thousand, ten".